A toy rocket is a cone (radius 2.5 cm, height 6 cm) on top of a cylinder (radius 2.5 cm, height 15 cm), with a hemisphere of radius 2.5 cm scooped out of the cylinder's bottom. Find the total volume of the toy (use π = 22/7, answer in cm^3 to two decimals).

Question

Accepted Answer

301.19. Cone = (1/3)(22/7)(6.25)(6) = 22 × 6.25 × 6/21 = 825/21 = 39.29. Cylinder = (22/7)(6.25)(15) = 22 × 6.25 × 15/7 = 2062.5/7 = 294.64. Hemisphere scooped out = (2/3)(22/7)(15.625) = 2 × 22 × 15.625/21 = 687.5/21 = 32.74. Total = 39.29 + 294.64 - 32.74 = 301.19 cm^3.

A toy rocket is a cone (radius 2.5 cm, height 6 cm) on top of a cylinder (radius 2.5 cm, height 15 cm), with a hemisphere of radius 2.5 cm scooped out of the cylinder's bottom.
Find the total volume of the toy (use π = 22/7, answer in $cm^{3}$ to two decimals).

Step-by-Step Solution

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More Class 10 Volume of Combined Solids practice

A toy rocket is a cone (radius 2.5 cm, height 6 cm) on top of a cylinder (radius 2.5 cm, height 15 cm), with a hemisphere of radius 2.5 cm scooped out of the cylinder's bottom.Find the total volume of the toy (use π = 22/7, answer in cm3 to two decimals).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Volume of Combined Solids practice

A toy rocket is a cone (radius 2.5 cm, height 6 cm) on top of a cylinder (radius 2.5 cm, height 15 cm), with a hemisphere of radius 2.5 cm scooped out of the cylinder's bottom.
Find the total volume of the toy (use π = 22/7, answer in $cm^{3}$ to two decimals).